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Finding the Fourth Proportional to 457,857.83, 686,693.19 and 173,450.33

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Solution

The fourth proportional to 457,857.83, 686,693.19 and 173,450.33 is: 260,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,857.83 : 686,693.19 = 173,450.33 : x
  2. Step 2: Convert to fraction form
    457,857.83/686,693.19 = 173,450.33/x
  3. Step 3: Cross multiply
    457,857.83x = 686,693.19 × 173,450.33
  4. Step 4: Simplify right side
    457,857.83x = 119,107,156,980.79
  5. Step 5: Solve for x
    x = 119,107,156,980.79/457,857.83
  6. Step 6: Final answer
    x = 260,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.